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satela [25.4K]
2 years ago
10

write an equation in slop-intercept form for a line that is perpendicular to the line y= -5x-3 and has a y-intercept of 6.

Mathematics
1 answer:
jenyasd209 [6]2 years ago
6 0

Answer:

The equation of the line would be y = 1/5x + 6

Step-by-step explanation:

First, to find the slope of a perpendicular line, you need to find the opposite and reciprocal of the original slope. Since the original is -5, we first change the sign (which makes it just 5). Now we take that 5 and flip it to get 1/5.

Now that we have the slope as 1/5, we can use that and the intercept in slope-intercept form to get the equation.

y = mx + b

y = 1/5x + 6

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Write the slope intercept form of the equation of the line through the given points and slope 1,1 and slope of -3/5
Maslowich

Slope is already given in the question so we only need to solve for the y-intercept.

Slope intercept form: y = mx + b

m = slope

b = y-intercept

-3/5 = -0.6

1 = -0.6(1) + b

1 = -0.6 + b

1 + 0.6 = -0.6 + b + 0.6

1.6 = b

Now, write in slope-intercept form.

y = -3/5x - 1.6

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3 years ago
Help me solve 11-2(x-5)
dsp73

Answer:

21-2x

Step-by-step explanation:

11-2(x-5)

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7 0
3 years ago
Read 2 more answers
Marcus has 731 books he puts about the same number of books on each of nine shelves in his bookcase about how many books are on
kondaur [170]

Answer:

81.2222 or 81 with 2 left over

Step-by-step explanation:

731/9 = 81.2222

81.2222 rounded down = 81

9*81 = 729

731-729 = 2 left over

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use \: sine \: rule \\  \frac{x}{ \sin(31) }  =  \frac{42}{ \sin(59) }  \:  \: taking \: angle \: at \: c \: as \: 90 \\ x =  \frac{ 42 \sin(31)}{ \sin(59)} \\ x = 25.236146

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A drawing has a scale 1/4 in: 12ft. How long is 8ft?
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Then, you use cross products:

12x=0.25(8) \\ 12x=2

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